Mathematical analysis of a nonlinear parabolic equation arising in the modelling of non-newtonian flows
Catto, Isabelle; Cancès, Eric; Gati, Yousra (2005), Mathematical analysis of a nonlinear parabolic equation arising in the modelling of non-newtonian flows, SIAM Journal on Mathematical Analysis, 37, 1, p. 60-82. http://dx.doi.org/10.1137/S0036141003430044
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Article accepté pour publication ou publiéLien vers un document non conservé dans cette base
http://hal.archives-ouvertes.fr/hal-00278227/en/Date
2005Nom de la revue
SIAM Journal on Mathematical AnalysisVolume
37Numéro
1Éditeur
SIAM
Pages
60-82
Identifiant publication
Métadonnées
Afficher la notice complèteRésumé (EN)
The mathematical properties of a nonlinear parabolic equation arising in the modelling of concentrated suspension flows are investigated. The peculiarity of this equation is that it may degenerate into a hyperbolic equation (in fact, a linear advection equation). Depending on the initial data, at least two situations can be encountered: the equation may have a unique solution in a convenient class, or it may have infinitely many solutions. The present article is the theoretical side of a joint project with rheologists, aiming at better understanding the flows of complex fluids.Mots-clés
complex fluids; nonlinear parabolic equationPublications associées
Affichage des éléments liés par titre et auteur.
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Gimenez, Angel; Catto, Isabelle; Amigo, M. Jose; Valero, Jose (2009) Article accepté pour publication ou publié
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Catto, Isabelle; Lions, Pierre-Louis; Le Bris, Claude (2000) Chapitre d'ouvrage
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Barletti, Luigi; Salvarani, Francesco (2016) Article accepté pour publication ou publié
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Gati, Yousra; Catto, Isabelle; Cancès, Eric; Le Bris, Claude (2005) Article accepté pour publication ou publié
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Catto, Isabelle (2015) Chapitre d'ouvrage